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Finding the Fourth Proportional to 9,296.88, 13,939.68 and 4,368

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Solution

The fourth proportional to 9,296.88, 13,939.68 and 4,368 is: 6,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.88 : 13,939.68 = 4,368 : x
  2. Step 2: Convert to fraction form
    9,296.88/13,939.68 = 4,368/x
  3. Step 3: Cross multiply
    9,296.88x = 13,939.68 × 4,368
  4. Step 4: Simplify right side
    9,296.88x = 60,888,522.24
  5. Step 5: Solve for x
    x = 60,888,522.24/9,296.88
  6. Step 6: Final answer
    x = 6,549.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.